Question

qs and tv are parallel lines. which angles are supplementary angles? ∠vur and ∠vuw ∠vur and ∠srp ∠vur and ∠tuw ∠vur and ∠qru

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For ∠VUR and ∠VUW: ∠VUR and ∠VUW are adjacent angles and they form a straight - line PW. So, ∠VUR+∠VUW = 180 degrees.
• For ∠VUR and ∠SRP: ∠VUR and ∠SRP are corresponding angles (due to parallel lines QS and TV), and corresponding angles are equal, not supplementary.
• For ∠VUR and ∠TUW: ∠VUR and ∠TUW are vertical angles. Vertical angles are equal, not supplementary.
• For ∠VUR and ∠QRU: ∠VUR and ∠QRU are alternate interior angles (due to parallel lines QS and TV), and alternate interior angles are equal, not supplementary.

Answer:

∠VUR and ∠VUW